The semiclassical limit of the two-dimensional quantum Yang–Mills model

DOI10.1063/1.530756zbMath0819.53040arXivhep-th/9402135OpenAlexW1965717331MaRDI QIDQ4327245

Ambar N. Sengupta, Christopher K. King

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9402135

zbMATH Keywords

moduli space of flat connectionssymplectic volumequantized Yang-Mills model

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Moduli problems for differential geometric structures (58D27)

Related Items

Weak coupling expansion of Yang-Mills theory on recursive infinite genus surfaces, Topological sectors and measures on moduli space in quantum Yang–Mills on a Riemann surface, The semiclassical limit for \(\text{SU}(2)\) and \(\text{SO}(3)\) gauge theory on the torus, A new 2-form for connections on surfaces with boundary, CONNECTIONS OVER TWO-DIMENSIONAL CELL COMPLEXES, A symplectic structure for connections on surfaces with boundary, An explicit description of the symplectic structure of moduli spaces of flat connections, The volume measure for flat connections as limit of the Yang-Mills measure., Sewing symplectic volumes for flat connections over compact surfaces, Two-Dimensional Quantum Yang–Mills Theory and the Makeenko–Migdal Equations, The moduli space of flat \(SU(2)\) and \(SO(3)\) connections over surfaces, The moduli space of flat connections on oriented surfaces with boundary

Cites Work

• Quantum Yang-Mills on the two-sphere
• Quantum Yang-Mills on a Riemann surface
• The symplectic nature of fundamental groups of surfaces
• On quantum gauge theories in two dimensions
• The semiclassical limit for gauge theory on \(S^ 2\)
• Two dimensional gauge theories revisited
• Small volume limits of 2-\(d\) Yang-Mills
• Quantum gauge theory on compact surfaces
• The Yang-Mills measure for \(S^ 2\)
• An explicit description of the symplectic structure of moduli spaces of flat connections
• The Yang-Mills equations over Riemann surfaces